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Nutka1998 [239]
2 years ago
5

Solve 10e^2x - 5 =23^x for x.

Mathematics
2 answers:
yawa3891 [41]2 years ago
5 0

10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}

bixtya [17]2 years ago
5 0

Answer:

B is the correct option choice !


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Ooffffffffffffffffffffffffffffffffffffffffffffffffffffff
Nutka1998 [239]

Answer: C. 2 x 2 x 2 x 2 x 5

Step-by-step explanation: if you multiply all of those numbers you get 80

7 0
3 years ago
Read 2 more answers
What is the value of the expression below when z = • 3?<br> 622 + 2z + 10
inn [45]

Answer:

632.6

Step-by-step explanation:

Z = .3 right? It looks weird on my screen

Anyway, if z is .3 than this is how to solve

First you plug in 0.3 where the z would go, making the expression 622 + 2(0.3) + 10. Then you solve! (below)

622 + 2(0.3) + 10.

622 + 0.6 + 10.

622 + 10 + 0.6

632 + 0.6

632.6

I hope this helped! If you have any questions, feel free to message me :)

3 0
2 years ago
HELP ME ASAP!!! PLZ PLZ
DanielleElmas [232]
-5/8n= -0.4
Divde both sides by -5/8
n = 0.64
4 0
3 years ago
What are the zeros of this function? <br>look at graph<br>a.<br>b.<br>c.<br>d.
fredd [130]
The zeros of the function occur when the graph meet the x-axis so in this case the zeros occur at B ( 0 and 5)
4 0
2 years ago
Anyone please .help me to solve this​
Wittaler [7]
The Correct Answer Is 10
4 0
3 years ago
Read 2 more answers
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